On the Wess-Zumino Model: a supersymmetric field theory

Authors

  • Daya Shankar Kulshreshtha University of Delhi, Department of Physics and Astrophysics, Delhi – 110007, India
  • Usha Kulshreshtha University of Delhi, Kirori Mal College, Department of Physics, Delhi – 110007, India

DOI:

https://doi.org/10.14311/AP.2022.62.0080

Keywords:

Wess-Zumino model, supersymmetric field theories, Hamiltonian and path integral quantization

Abstract

We consider the free massless Wess-Zumino Model in 4D which describes a supersymmetric field theory that is invariant under the rigid or global supersymmetry transformations where the transformation parameter ϵ (or ϵ ) is a constant Grassmann spinor. We quantize the theory using the Hamiltonian and path integral formulations.

Downloads

Download data is not yet available.

References

J. Wess, B. Zumino. Supergauge transformations in four dimensions. Nuclear Physics B 70(1):39–50, 1974. https://doi.org/10.1016/0550-3213(74)90355-1.

S. Deser, B. Zumino. Consistent supergravity. Physics Letters B 62(3):335–337, 1976. https://doi.org/10.1016/0370-2693(76)90089-7.

D. Z. Freedman, P. van Nieuwenhuizen, S. Ferrara. Progress toward a theory of supergravity. Physical Review D 13:3214–3218, 1976. https://doi.org/10.1103/PhysRevD.13.3214.

P. van Nieuwenhuizen. Supergravity. Physics Reports 68(4):189–398, 1981. https://doi.org/10.1016/0370-1573(81)90157-5.

H. J. W. Müller-Kirsten, A. Wiedemann. Introduction to Supersymmetry. World Scientific, Singapore, 2nd edn., 2010. https://doi.org/10.1142/7594.

J. Wess, J. Bagger. Supersymmetry and Supergravity. Princeton University Press, 1992. ISBN 9780691025308.

H. J. W. Müller-Kirsten. Introduction to Quantum Mechanics: Schrödinger Equation and Path Integral. World Scientific, Singapore, 2006. ISBN 9789812566911.

K. Becker, M. Becker, J. H. Schwarz. String Theory and M-Theory: A Modern Introduction. Cambridge University Press, 2007. ISBN 9780521860697.

S. J. Brodsky. Supersymmetric and conformal features of hadron physics. Universe 4(11):120, 2018. https://doi.org/10.3390/universe4110120.

S. J. Brodsky, G. F. de Teramond, H. G. Dosch. Light-front holography and supersymmetric conformal algebra: A novel approach to hadron spectroscopy, structure, and dynamics, 2020. arXiv:2004.07756.

S. J. Brodsky. Color confinement and supersymmetric properties of hadron physics from light-front holography. Journal of Physics: Conference Series 1137:012027, 2019. https://doi.org/10.1088/1742-6596/1137/1/012027.

Downloads

Published

2022-02-28

How to Cite

Kulshreshtha, D. S., & Kulshreshtha, U. (2022). On the Wess-Zumino Model: a supersymmetric field theory. Acta Polytechnica, 62(1), 80–84. https://doi.org/10.14311/AP.2022.62.0080

Issue

Section

Analytic and Algebraic Methods in Physics